Q No 1:

Solve these

Q#1: (b) The probability that a swimmer will succeed in swimming across a lake is 0.4. What is the probability that the tenth swimmer is the fourth one to cross the lake? Q#2: (c) Find the probability that a person flipping a coin gets the third head on the seventh flip, Q#3: (b) The probability that a person will install a black telephone in a residence is estimated to be 0.3. Find the probability that the 10th phone installed in a new sub-division is the 5th black phone. (c) When flipping an unbiased coin, determine the probability that the first head occurs on the third trial.) Q#5 An insurance salesman sells policies to 5 men, all of identical age and in good health. According to the actuarial tables, the probability that a man of this particular age will be alive 30 years hence is 2/3. Find the probability that in 30 years (i) all men, (1) of feast 3 men, (ill) only two men, (iv) of most one man will be alive. solve it (#6 (a) If the probability of getting caught copying someone else's exam is 0.2, find the probability of not getting caught in a attempts. Assume independence. Q#7(b) If 60% of the voters in a large district prefer candidate A, what is the probability that in a sample of 12 voters exactly 1 will prefer A? Q#8(c) The probability that a patient recovers from a delicate heart operation is 0.9. What is the probability that exactly five of the next 7 patients having this operation survive